Analysis of a model for the dynamics of microswimmer suspensions

Abstract

In this paper, a model that was recently derived in Reinken et al. [11] to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak solutions, their weak-strong uniqueness and a connection to a different model that was proposed in Wensink et al. [18] is shown.

18 pages

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Meso-scale turbulence in living fluids
• Active turbulence in active nematics
• Derivation of a hydrodynamic theory for mesoscale dynamics in microswimmer suspensions
• Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy